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Emergent Structure of Multidislocation Ground States in Curved Crystals

Emergent Structure of Multidislocation Ground States in Curved Crystals

We study the structural features and underlying principles of multi-dislocation ground states of a crystalline spherical cap. In the continuum limit where the ratio of crystal size to lattice spacing $W/a$ diverges, dislocations proliferate and ground states approach a characteristic sequence of structures composed of radial grain boundaries ("neutral scars"), …